Exact Control for Schr\"odinger Equation on Torus
Pure Appl. Analysis 3 (2021) 387-401 For standard torus $\mathbb{T}^2=\mathbb{R}^2/\mathbb{Z}^2$, we prove observability for free Schr\"odinger equation from a ball of radius $\epsilon$ with explicit dependence of the observability constant on $\epsilon$.
Saved in:
Main Author | |
---|---|
Format | Journal Article |
Language | English |
Published |
02.01.2020
|
Subjects | |
Online Access | Get full text |
Cover
Loading…
Abstract | Pure Appl. Analysis 3 (2021) 387-401 For standard torus $\mathbb{T}^2=\mathbb{R}^2/\mathbb{Z}^2$, we prove
observability for free Schr\"odinger equation from a ball of radius $\epsilon$
with explicit dependence of the observability constant on $\epsilon$. |
---|---|
AbstractList | Pure Appl. Analysis 3 (2021) 387-401 For standard torus $\mathbb{T}^2=\mathbb{R}^2/\mathbb{Z}^2$, we prove
observability for free Schr\"odinger equation from a ball of radius $\epsilon$
with explicit dependence of the observability constant on $\epsilon$. |
Author | Tao, Zhongkai |
Author_xml | – sequence: 1 givenname: Zhongkai surname: Tao fullname: Tao, Zhongkai |
BackLink | https://doi.org/10.48550/arXiv.2001.00690$$DView paper in arXiv https://doi.org/10.2140/paa.2021.3.387$$DView published paper (Access to full text may be restricted) |
BookMark | eNrjYmDJy89LZWCQNDTQM7EwNTXQTyyqyCzTMzIwMNQzMDCzNOBkMHStSEwuUXDOzyspys9RSMsvUghOziiKUcpPycxLTy1ScC0sTSzJzM9TAKKQ_KLSYh4G1rTEnOJUXijNzSDv5hri7KELNjy-oCgzN7GoMh5kSTzYEmPCKgB0DTJs |
ContentType | Journal Article |
Copyright | http://arxiv.org/licenses/nonexclusive-distrib/1.0 |
Copyright_xml | – notice: http://arxiv.org/licenses/nonexclusive-distrib/1.0 |
DBID | AKZ GOX |
DOI | 10.48550/arxiv.2001.00690 |
DatabaseName | arXiv Mathematics arXiv.org |
DatabaseTitleList | |
Database_xml | – sequence: 1 dbid: GOX name: arXiv.org url: http://arxiv.org/find sourceTypes: Open Access Repository |
DeliveryMethod | fulltext_linktorsrc |
ExternalDocumentID | 2001_00690 |
GroupedDBID | AKZ GOX |
ID | FETCH-arxiv_primary_2001_006903 |
IEDL.DBID | GOX |
IngestDate | Mon Jan 08 05:49:37 EST 2024 |
IsDoiOpenAccess | true |
IsOpenAccess | true |
IsPeerReviewed | false |
IsScholarly | false |
Language | English |
LinkModel | DirectLink |
MergedId | FETCHMERGED-arxiv_primary_2001_006903 |
OpenAccessLink | https://arxiv.org/abs/2001.00690 |
ParticipantIDs | arxiv_primary_2001_00690 |
PublicationCentury | 2000 |
PublicationDate | 2020-01-02 |
PublicationDateYYYYMMDD | 2020-01-02 |
PublicationDate_xml | – month: 01 year: 2020 text: 2020-01-02 day: 02 |
PublicationDecade | 2020 |
PublicationYear | 2020 |
Score | 3.5084426 |
SecondaryResourceType | preprint |
Snippet | Pure Appl. Analysis 3 (2021) 387-401 For standard torus $\mathbb{T}^2=\mathbb{R}^2/\mathbb{Z}^2$, we prove
observability for free Schr\"odinger equation from a... |
SourceID | arxiv |
SourceType | Open Access Repository |
SubjectTerms | Mathematics - Analysis of PDEs |
Title | Exact Control for Schr\"odinger Equation on Torus |
URI | https://arxiv.org/abs/2001.00690 |
hasFullText | 1 |
inHoldings | 1 |
isFullTextHit | |
isPrint | |
link | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwY2BQMUiyMDRPNUzRNUk1swR2UCxNdZMSUy11U5LMjY2BHQ6zNHPQ5mRfPzOPUBOvCNMIJgYF2F6YxKKKzDLI-cBJxfqgBT964MN0mRmYjYxAS7bc_SMgk5Pgo7ig6hHqgG1MsBBSJeEmyMAPbd0pOEKiQ4iBKTVPhMHQtSIxuUTBGbIoXAHYSlQITs4oilHKTwGPqSm4FkLO21YAopD8otJiUQZ5N9cQZw9dsCXxBZATIUB3ORrGg-03FmNgAfbbUyUYFAyNzQySE5MMUpPMgX2gJGNg2wZUnyclWaSkglpRkgwSuEyRwi0lzcBlBOrygUYBjGQYWEqKSlNlgfViSZIcOHAAg75liA |
link.rule.ids | 228,230,783,888 |
linkProvider | Cornell University |
openUrl | ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=Exact+Control+for+Schr%5C%22odinger+Equation+on+Torus&rft.au=Tao%2C+Zhongkai&rft.date=2020-01-02&rft_id=info:doi/10.48550%2Farxiv.2001.00690&rft.externalDocID=2001_00690 |